Paper Citation Record · LEDGER

Parabolic automorphisms of hyperk{\"a}hler manifolds: Orbits and Betti maps

As of 10 August 2026, this Paper Citation Record lists 35 of 35 outbound references and 0 inbound Pith citation observations for arXiv:2502.01149.

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pith.paper-citation-record.v1
2502.01149 v1

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measured 35 of 35 reference resolution

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Source: paper_references, paper_reference_links, observed 2026-08-09T16:34:36.655813Z

measured 35 of 35 standing notices

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measured 0 of 0 inbound itemization

Pith citing papers itemized under the disclosed page cap.

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measured 0 of 1 external citation measurements

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Source: cited_works

Reference resolution

35 of 35 outbound references displayed

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External citation measurements

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Outbound references

Observation cf634bab-f1fb-48fe-978d-65fb282fcbde · outbound

This paper cites Parabolic automo rphisms of hyperkähler mani- folds.

Parabolic automorphisms of hyperk{\"a}hler manifolds: Orbits and Betti maps Parabolic automo rphisms of hyperkähler mani- folds

Reference 1

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Observation af67eb11-65fd-44f4-829c-5fcb82bff15c · outbound

This paper cites Mumford-Tate groups of mixed Hodge structur es and the theorem of the ﬁxed part.

Parabolic automorphisms of hyperk{\"a}hler manifolds: Orbits and Betti maps Mumford-Tate groups of mixed Hodge structur es and the theorem of the ﬁxed part

Reference 2

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Observation 1ff01926-56b1-4386-9b01-547a5b6eed8b · outbound

This paper cites The Bet ti map associated to a section of an abelian scheme.

Parabolic automorphisms of hyperk{\"a}hler manifolds: Orbits and Betti maps The Bet ti map associated to a section of an abelian scheme

Reference 3

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Observation 4238cc77-cdf5-43d1-95ab-0e10d52f3a10 · outbound

This paper cites A short proof of a conjecture of Matsushita.

Parabolic automorphisms of hyperk{\"a}hler manifolds: Orbits and Betti maps A short proof of a conjecture of Matsushita

Reference 4

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Observation f88f1b56-cd17-426e-8d66-f11971b5f9ce · outbound

This paper cites Isotrivialité de certaines familles kählériennes de variétés non projec- tives.

Parabolic automorphisms of hyperk{\"a}hler manifolds: Orbits and Betti maps Isotrivialité de certaines familles kählériennes de variétés non projec- tives

Reference 5

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Observation 1539779c-6931-4c25-8b9a-d469d9677e1a · outbound

This paper cites Sur la dynamique du groupe d’automorphism es des surfaces K3.

Parabolic automorphisms of hyperk{\"a}hler manifolds: Orbits and Betti maps Sur la dynamique du groupe d’automorphism es des surfaces K3

Reference 6

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Observation a1792343-8627-4248-a336-ee8ef2aa364d · outbound

This paper cites Dynamics of automorphisms of compact comp lex surfaces.

Parabolic automorphisms of hyperk{\"a}hler manifolds: Orbits and Betti maps Dynamics of automorphisms of compact comp lex surfaces

Reference 7

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Observation e1018f88-a711-46af-87d2-001528fba9ed · outbound

This paper cites Invariant measures fo r large automorphism groups of projective surfaces.

Parabolic automorphisms of hyperk{\"a}hler manifolds: Orbits and Betti maps Invariant measures fo r large automorphism groups of projective surfaces

Reference 8

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Observation b1f562f1-7e30-463c-b9f1-f27aaf88ab0f · outbound

This paper cites Finite Orbits in Surfaces with a Double Elliptic Fibration and Torsion Values of Sections.

Parabolic automorphisms of hyperk{\"a}hler manifolds: Orbits and Betti maps Finite Orbits in Surfaces with a Double Elliptic Fibration and Torsion Values of Sections

Reference 9

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Observation 3d6a7645-2df1-4ca9-b397-89066ae46f8d · outbound

This paper cites Mesures de Monge-Ampère et cara ctérisation géométrique des var- iétés algébriques afﬁnes.

Parabolic automorphisms of hyperk{\"a}hler manifolds: Orbits and Betti maps Mesures de Monge-Ampère et cara ctérisation géométrique des var- iétés algébriques afﬁnes

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-09T16:34:37.152921Z

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Observation 8d82647e-9d72-4cc4-972d-9c4ef459e130 · outbound

This paper cites Complex analytic and different ial geometry.

Parabolic automorphisms of hyperk{\"a}hler manifolds: Orbits and Betti maps Complex analytic and different ial geometry

Reference 11

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Observation 9a817f3f-5397-4e8a-b8a3-c883c2076188 · outbound

This paper cites Finite translation orbits on double families of abelian varieties (with an appendix by E. Amerik).

Parabolic automorphisms of hyperk{\"a}hler manifolds: Orbits and Betti maps Finite translation orbits on double families of abelian varieties (with an appendix by E. Amerik)

Reference 12

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Observation 6b889f6f-fc1d-4048-a3fa-799db7b86547 · outbound

This paper cites Generic rank of Betti map and unlikely inter sections.

Parabolic automorphisms of hyperk{\"a}hler manifolds: Orbits and Betti maps Generic rank of Betti map and unlikely inter sections

Reference 13

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Observation 3c5aeeac-03c6-4cbf-8630-fdd21b47f48b · outbound

This paper cites Mixed Ax-Schanuel for the universal abelia n varieties and some applica- tions.

Parabolic automorphisms of hyperk{\"a}hler manifolds: Orbits and Betti maps Mixed Ax-Schanuel for the universal abelia n varieties and some applica- tions

Reference 14

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Observation 0cc789a0-4580-4c43-988a-2a2765afa8c5 · outbound

This paper cites The geometric dynam ical Bogomolov and Northcott properties.

Parabolic automorphisms of hyperk{\"a}hler manifolds: Orbits and Betti maps The geometric dynam ical Bogomolov and Northcott properties

Reference 15

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Observation 0bb1a491-a0f2-4d4c-b204-c451e4538146 · outbound

This paper cites Compact hyperkähler manifolds: ba sic results.

Parabolic automorphisms of hyperk{\"a}hler manifolds: Orbits and Betti maps Compact hyperkähler manifolds: ba sic results

Reference 16

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Observation e0ae597e-4e1d-4517-8c2c-8e7ceeacc754 · outbound

This paper cites Compact hyperkähler manifolds.

Parabolic automorphisms of hyperk{\"a}hler manifolds: Orbits and Betti maps Compact hyperkähler manifolds

Reference 17

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This paper cites Compact hyperkähler man ifolds: basic results.

Parabolic automorphisms of hyperk{\"a}hler manifolds: Orbits and Betti maps Compact hyperkähler man ifolds: basic results

Reference 18

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Observation 0f5a7fb2-4d71-4019-b8e5-b44b12136819 · outbound

This paper cites Non-hyperbolicity of holomorphic symplectic varieties.

Parabolic automorphisms of hyperk{\"a}hler manifolds: Orbits and Betti maps Non-hyperbolicity of holomorphic symplectic varieties

Reference 19

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Observation 460f205a-0784-4e1c-b044-453bcf7a8835 · outbound

This paper cites Lieberman.

Parabolic automorphisms of hyperk{\"a}hler manifolds: Orbits and Betti maps Lieberman

Reference 20

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Observation fccbee79-c419-4062-b849-cf4ade57968b · outbound

This paper cites On the cohomological action of auto morphisms of compact Kähler threefolds.

Parabolic automorphisms of hyperk{\"a}hler manifolds: Orbits and Betti maps On the cohomological action of auto morphisms of compact Kähler threefolds

Reference 21

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Observation 4fda63cc-add4-4fb6-90e1-e0bf99418059 · outbound

This paper cites On the primitivity of birational tr ansformations of irreducible holo- morphic symplectic manifolds.

Parabolic automorphisms of hyperk{\"a}hler manifolds: Orbits and Betti maps On the primitivity of birational tr ansformations of irreducible holo- morphic symplectic manifolds

Reference 22

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This paper cites An application of p-adic integration to the dynamics of a birational transformation preserving a ﬁbration.

Parabolic automorphisms of hyperk{\"a}hler manifolds: Orbits and Betti maps An application of p-adic integration to the dynamics of a birational transformation preserving a ﬁbration

Reference 23

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This paper cites On ﬁbre space structures of a proje ctive irreducible symplectic man- ifold.

Parabolic automorphisms of hyperk{\"a}hler manifolds: Orbits and Betti maps On ﬁbre space structures of a proje ctive irreducible symplectic man- ifold

Reference 24

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This paper cites On ﬁbre space structur es of a projective irreducible symplectic manifold.

Parabolic automorphisms of hyperk{\"a}hler manifolds: Orbits and Betti maps On ﬁbre space structur es of a projective irreducible symplectic manifold

Reference 25

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Observation 6d080357-9e6e-4fda-b211-4cddc55f7de0 · outbound

This paper cites Ax-S chanuel for Shimura varieties.

Parabolic automorphisms of hyperk{\"a}hler manifolds: Orbits and Betti maps Ax-S chanuel for Shimura varieties

Reference 26

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This paper cites Projectivity criterion of Moishezon spaces and density of projective symplectic varieties.

Parabolic automorphisms of hyperk{\"a}hler manifolds: Orbits and Betti maps Projectivity criterion of Moishezon spaces and density of projective symplectic varieties

Reference 27

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Observation 578bb4f4-2389-4bec-8875-2bf1e56d5cb6 · outbound

This paper cites Bimeromorphic automorphism groups of no n-projective hyperkähler manifolds—a note inspired by C.

Parabolic automorphisms of hyperk{\"a}hler manifolds: Orbits and Betti maps Bimeromorphic automorphism groups of no n-projective hyperkähler manifolds—a note inspired by C

Reference 28

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This paper cites Picard number of the generic ﬁber of an abe lian ﬁbered hyperkähler mani- fold.

Parabolic automorphisms of hyperk{\"a}hler manifolds: Orbits and Betti maps Picard number of the generic ﬁber of an abe lian ﬁbered hyperkähler mani- fold

Reference 29

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This paper cites Ratcliffe.

Parabolic automorphisms of hyperk{\"a}hler manifolds: Orbits and Betti maps Ratcliffe

Reference 30

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Observation c95604f5-e242-4411-9c4a-790fc73be7c9 · outbound

This paper cites The Moser isot opy for holomorphic symplec- tic and C-symplectic structures.

Parabolic automorphisms of hyperk{\"a}hler manifolds: Orbits and Betti maps The Moser isot opy for holomorphic symplec- tic and C-symplectic structures

Reference 31

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Observation a92ed80e-d6b5-421d-9a19-c10f5b559b83 · outbound

This paper cites Cohomology of compact hyperkähler ma nifolds and its applications.

Parabolic automorphisms of hyperk{\"a}hler manifolds: Orbits and Betti maps Cohomology of compact hyperkähler ma nifolds and its applications

Reference 32

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Observation 3dbeb78d-62be-4844-92de-b0897f941bce · outbound

This paper cites Degenerate twistor spaces for hyperk ähler manifolds.

Parabolic automorphisms of hyperk{\"a}hler manifolds: Orbits and Betti maps Degenerate twistor spaces for hyperk ähler manifolds

Reference 33

Resolution: verified fuzzy; raw_fallback, observed 2026-08-09T16:34:36.807682Z

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Observation c30aa10f-3e01-4c4e-a3e8-867346d693e3 · outbound

This paper cites Hodge theory and complex algebraic geometry.

Parabolic automorphisms of hyperk{\"a}hler manifolds: Orbits and Betti maps Hodge theory and complex algebraic geometry

Reference 34

Resolution: verified fuzzy; raw_fallback, observed 2026-08-09T16:34:36.789060Z

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Observation 60c74eca-2da0-408a-bd42-60b75ae40bd3 · outbound

This paper cites Torsion points of sections of Lagrangia n torus ﬁbrations and the Chow ring of hyper-Kähler manifolds.

Parabolic automorphisms of hyperk{\"a}hler manifolds: Orbits and Betti maps Torsion points of sections of Lagrangia n torus ﬁbrations and the Chow ring of hyper-Kähler manifolds

Reference 35

Resolution: verified fuzzy; raw_fallback, observed 2026-08-09T16:34:36.773435Z

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